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Finding the Fourth Proportional to 14,596.63, 20,143.37 and 8,309

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Solution

The fourth proportional to 14,596.63, 20,143.37 and 8,309 is: 11,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.63 : 20,143.37 = 8,309 : x
  2. Step 2: Convert to fraction form
    14,596.63/20,143.37 = 8,309/x
  3. Step 3: Cross multiply
    14,596.63x = 20,143.37 × 8,309
  4. Step 4: Simplify right side
    14,596.63x = 167,371,261.33
  5. Step 5: Solve for x
    x = 167,371,261.33/14,596.63
  6. Step 6: Final answer
    x = 11,466.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.